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Finding the Third Proportional to 370,278 and 524,232

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Solution

The third proportional to 370,278 and 524,232 is: 742,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,278 : 524,232 = 524,232 : x
  2. Step 2: Convert to fraction form
    370,278/524,232 = 524,232/x
  3. Step 3: Cross multiply
    370,278x = 524,232 × 524,232
  4. Step 4: Simplify right side
    370,278x = 274,819,189,824
  5. Step 5: Solve for x
    x = 274,819,189,824/370,278
  6. Step 6: Final answer
    x = 742,196.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.